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Finding the Third Proportional to 344,210 and 745,615

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Solution

The third proportional to 344,210 and 745,615 is: 1,615,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,210 : 745,615 = 745,615 : x
  2. Step 2: Convert to fraction form
    344,210/745,615 = 745,615/x
  3. Step 3: Cross multiply
    344,210x = 745,615 × 745,615
  4. Step 4: Simplify right side
    344,210x = 555,941,728,225
  5. Step 5: Solve for x
    x = 555,941,728,225/344,210
  6. Step 6: Final answer
    x = 1,615,123.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.